Question 857145
Q:
What is the circumference of the circle that has a center at (1,1) and passes through point (3,5)
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A:
The distance between (1, 1) and (3, 5) is equal to
{{{sqrt((5 - 1)^2 + (3 - 1)^2)}}} = {{{sqrt(20)}}} = {{{2sqrt(5)}}}.
The length of the radius is {{{2sqrt(5)}}}, so the circumference of the circle is equal to {{{2*pi*r}}} = {{{2*pi*2sqrt(5)}}} = {{{highlight(4pi*sqrt(5))}}}